Tame parahoric nonabelian Hodge correspondence in positive characteristic over algebraic curves

• Mao Li ^[2] ; Hao Sun ^[1]
  1. [1] South China University of Technology

     South China University of Technology

     China

     
  2. [2] Department of Mathematics, University of Illinois at Urbana-Champaign, USA
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 30, Nº. 4, 2024, págs. 1-36
• Idioma: inglés
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• Resumen

  • Let G be a reductive group, and let X be an algebraic curve over an algebraically closed field k with positive characteristic. We prove a version of nonabelian Hodge correspondence for tame G-local systems over X and logarithmic G-Higgs bundles over the Frobenius twist X . To obtain a full description of the correspondence for the noncompact case, we introduce the language of parahoric group schemes to establish the correspondence.